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Finding the Fourth Proportional to 9,334.08, 14,003.04 and 6,413.76

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Solution

The fourth proportional to 9,334.08, 14,003.04 and 6,413.76 is: 9,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.08 : 14,003.04 = 6,413.76 : x
  2. Step 2: Convert to fraction form
    9,334.08/14,003.04 = 6,413.76/x
  3. Step 3: Cross multiply
    9,334.08x = 14,003.04 × 6,413.76
  4. Step 4: Simplify right side
    9,334.08x = 89,812,137.83
  5. Step 5: Solve for x
    x = 89,812,137.83/9,334.08
  6. Step 6: Final answer
    x = 9,621.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.